MATH-4230 (3) Differential Geometry of Curves and Surfaces

Introduces the modern differential geometry of plane curves, space curves, and surfaces in space. Topics include the Frenet frame, curvature and torsion for space curves; Gauss and mean curvature for surfaces; Gauss and Codazzi equations, and the Gauss-Bonnet theorem. Same as MATH 5230. Requisites: Requires prerequisite courses of MATH 2400 or APPM 2350 and MATH 3130 or MATH 3135 and MATH 2001 (all minimum grade C-).